Topology optimization of multi-track ring resonators and 2D microcavities for nonlinear frequency conversion

Zin Lin, Marko Lončar, and Alejandro W. Rodriguez

Index: 10.1364/OL.42.002818

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Abstract

We exploit recently developed topology-optimization techniques to design complex, wavelength-scale resonators for enhancing various nonlinear χ(2) and χ(3) frequency conversion processes. In particular, we demonstrate aperiodic, multi-track ring resonators and two-dimensional slab microcavities exhibiting long lifetimes Q≳104, small modal volumes V≳(λ/2n)3, and among the largest nonlinear overlaps (a generalization of phase matching in large-etalon waveguides) possible, paving the way for efficient, compact, and wide-bandwdith integrated nonlinear devices.